go to teaching materials ↴syllabus content: HL 5.14 - implicit differentiation; related ratesUp to this point, students have determined an expression for \(\dfrac{{{\rm{d}}y}}{{{\rm{d}}x}}\)(derivative of \(y\) with respect to \(x\)) by differentiating functions of the form \(y = f\left( x \right)\) where the dependent variable \(y\) is expressed explicitly in terms of the independent variable \(x\). HL students now need to learn how to find \(\dfrac{{{\rm{d}}y}}{{{\rm{d}}x}}\)...